Mathematics: Prehistoric cave paintings were discovered in a cave in france. the paint contained 10 %10% of the original carbon-14. use the exponential decay model for carbon-14, upper a equals upper a 0 e superscript negative 0.000121 t=a0e−0.000121t, to estimate the age of the paintings.

Wheres the paper or where are the answer choices?!D: NoNo...

Prehistoric cave paintings were discovered in

lwewahdu

11.01.2022

t=19188.2 y

Step-by-step explanation:

The exponential decay equation is:

$A=A_{0}e^{-0.00012t}$ (1)

But, A is 10% of A₀, it means that A=0.10A₀.

If we put it into equation (1), we will have:

$0.10A_{0}=A_{0}e^{-0.00012t}$

$0.10=e^{-0.00012t}$ (2)

Now, we just need to solve (2) for t.

$t=\frac{ln(0.10)}{-0.000121} = 19188.2 y$

I hope it helps you!

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emma8292

03.12.2021

Wheres the paper or where are the answer choices?!

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